Perimeter is the length of the boundary around any closed figure.
The boundary of a triangle consists of its three sides. Therefore, sum of length of three sides of triangle is
called its perimeter.
Units of perimeter measurement of a triangle are taken the same as units of length of sides of the triangle.
The few examples of units of length on the side of a triangle are meter (m), centimeter (cm) etc..
So, the units of perimeter are also taken as meter (m), centimeter (cm) etc..
In this ΔABC, we have
length of AB = a
length of BC = b
and length of CA = c
So, perimeter of ΔABC is sum of length of sides AB, BC and CA
i.e. perimeter of ΔABC = a + b + c
In an equilateral triangle, where all sides are of equal length.
i.e. AB = a, BC = a and CA = a
So, perimeter of equilateral ΔABC = a + a + a = 3a
In isosceles triangle, where any two sides are of equal length.
i.e. AB = a, BC = a and CA = b
So, perimeter of isosceles ΔABC = a + a + b = 2a + b
Find perimeter of ΔABC with length of its sides as given below:
AB=2cm, BC=4cm, CA=6cm
So, perimeter of ΔABC = AB + BC + CA
= 2 + 4 + 6
= 12cm
Area is the total amount of space occupied by any closed figure.
Area is measured in square units.
The few examples of units of area of triangle are meter2 or m2 read as meter square,
centimeter2 or cm2 read as centimeter square etc.
Area of any triangle = X base X height
Let’s understand it from following ΔABC
where, BC is base, length of BC = b
and AO is height, length of AO = h
Therefore, area of ΔABC = X b X h
In above equilateral ΔABC, where all sides of triangle are equal in length, its area is calculated
as:
area of ΔABC =
a2
Let’s see how it is calculated?
Here, in right angle ΔAOC
a2 = h2 + (
a2 = h2 +
a2 –
Area of Δ =
Area of Δ =
area of isosceles ΔABC =
Let’s see how it is calculated?
Here, in right angle ΔAOC
(a)2 = (h)2 + (
a2 = h2 +
a2 –
we know, area of Δ =
∴ area of ΔABC =
or area of ΔABC =